A brief note on the G$_2$ Affleck-Kennedy-Lieb-Tasaki chain
Strongly Correlated Electrons
2025-08-19 v3 Mathematical Physics
math.MP
Abstract
We consider the valence bond solid (VBS) state built of singlet pairs of fundamental representations and projected onto adjoint representations of the exceptional Lie group G. The two-point correlation function in the VBS state is non-vanishing only for nearest neighbours, but possesses finite string order. We construct a parent Hamiltonian for the VBS state, which constitutes the G analog of the famous AKLT chain.
Keywords
Cite
@article{arxiv.2503.18885,
title = {A brief note on the G$_2$ Affleck-Kennedy-Lieb-Tasaki chain},
author = {Hosho Katsura and Dirk Schuricht},
journal= {arXiv preprint arXiv:2503.18885},
year = {2025}
}
Comments
In memory of Ian Affleck